4088516352064 has 63 divisors (see below), whose sum is σ = 8160902983597. Its totient is φ = 2032295976704.

The previous prime is 4088516352043. The next prime is 4088516352083. The reversal of 4088516352064 is 4602536158804.

The square root of 4088516352064 is 2022008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4005922190400 + 82594161664 = 2001480^2 + 287392^2 .

It is a super-2 number, since 2×4088516352064² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3186683967 + ... + 3186685249.

Almost surely, 2^{4088516352064} is an apocalyptic number.

4088516352064 is the 2022008-th square number.

It is an amenable number.

4088516352064 is a deficient number, since it is larger than the sum of its proper divisors (4072386631533).

4088516352064 is an frugal number, since it uses more digits than its factorization.

4088516352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 4088516352064 in words is "four trillion, eighty-eight billion, five hundred sixteen million, three hundred fifty-two thousand, sixty-four".